Answer:
Step-by-step explanation:
A line is expressed as y=mx+b where m=slope and b=y intercept. As long as we have two points we can solve the equation of that line.
y=mx+b
For the top line I found two points (5,200) and (30,325)
m=(y2-y1)/(x2-x1)=(325-200)/(30-5)=125/25=5
y=5x+b, using point (5,200) we can solve for b
200=5(5)+b, b=200-25=175 so the line is
y=5x+175
For the bottom line we have points (5,50) and 10,100)
m=(100-50)/(10-5)=50/5=10
y=10x+b, using point (5,50) we have
50=10(5)+b, b=50-50=0 so
y=10x
Answer:
2w-42
Step-by-step explanation:
-24+2(w-9)
We need to distribute the 2 to the w-9 in the parentheses as per PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
-24+2w - 18
Subtract -24 -18
2w - 42
You would have 2/3 left so 2/3 ÷ 6 and that would turn into 2/3 × 6/1 and that would turn into 2/3 × 1/6 which would equal 2/18 which would simplify 1/9
Answer:
1. 3 2/3
2. 4 9/10
3. 1 27/56
4. 58 2/15
5. 11 1/24
Step-by-step explanation:
1. To find the answer, add 3 1/6 and 5 9/10. First change them into improper fractions. 5 9/10 is 59/10 and 3 1/6 is 19/6. Now, you have to make the denominator (bottom number) the same number for both fractions. To do this you must find a LCM for both the number (10, 6) a LCM for these numbers is 30. Now to change the denominator to this you must times the numerator and denominator by the number needed to get the LCM for the denominator.
So 6 x 5 = 30 and 3 x 10 = 30.
19/6 x 5 = 95/30 and 59/10 x 3 = 177/30
Now add the fractions:
This equals 272/30
Simplify:
Now take 12 5/6 and turn it into a improper fraction: 77/6
Now again, you have to make the denominator to 30
77/6 x 5 = 385/30
Now subtract 385/30 - 272/30
This equals 113/30
Now turn this back into a mixed fraction:
3 23/30
The answer is 3 23/30
This process is basically the same for all the other questions.